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COMPUTATIONAL PHYSICS II (COURSEWORK)

Module code: MP468C
Credits: 5
Semester: 1
Department: THEORETICAL PHYSICS
International:
Coordinator: Dr Jonivar Skullerud (THEORETICAL PHYSICS)

	Overview
	Monte Carlo Methods and simulation: random number generators, integration, Metropolis algorithm. Minimisation of multi-dimensional functions: direction set methods, simulated annealing. Linear algebra: Gauss-Jordan elimination, conjugate gradient. Partial Differential Equations. Static solutions/boundary value problems: direct matrix methods, relaxation methods, spectral methods. Time evolution problems: explicit and implicit schemes, stability analysis. Each section will include a range of problems from physics and applied mathematics.

Overview

Monte Carlo Methods and simulation: random number generators, integration, Metropolis algorithm. Minimisation of multi-dimensional functions: direction set methods, simulated annealing. Linear algebra: Gauss-Jordan elimination, conjugate gradient. Partial Differential Equations. Static solutions/boundary value problems: direct matrix methods, relaxation methods, spectral methods. Time evolution problems: explicit and implicit schemes, stability analysis. Each section will include a range of problems from physics and applied mathematics.

	Learning Outcomes
	On successful completion of the module, students should be able to: solve partial differential equation (initial and boundary value problems) using a variety of methods analyse the stability of differentiation schemes for initial-value problems in partial differential equations outline the principles behind the most commonly used methods for solving systems of linear equations (Gauss-Jordan elimination, conjugate gradient), their advantages and limitations describe and apply the basic principles fo Monte Carlo methods

Learning Outcomes

Teaching & Learning methods

Assessment

	Autumn Supplementals/Resits
	Are supplemental/resit registrations permitted? Yes University scheduled written examination (Autumn): 120 minutes Is Supplemental Continuous Assessment registration permitted? No Is Supplemental Continuous Assessment capped? No

	Pre-Requisites
	MP354 or equivalent

	Co-Requisites
	MP468P or MP490

Timetable

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Courses / Module

COMPUTATIONAL PHYSICS II (COURSEWORK)

Semester 1

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